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GAMMA AND BETA FUNCTION, , Q.1 Find the value of [1/2 ., Q.2 Evaluate {? cos*x dx, , Q.3 Define Gamma and Beta function., . 3 9, Q.4 Find |- 3 and |- 3, , Q.5 Evaluate {, e~**x3 dx, Q.6 Evaluate So ex dx, , Q.7 Evaluate So (1 —x)3 dx, , (i), , Q8 Prove that he V1—x* dx= am, , , , Q.9 Evaluate fh x3(2ax — wy? dx, , [mln, [(m+n), , Q.11 Prove that fy’ e~"* cos bx x"-"dx =, , Q.10 Prove that B(m,n) =, , , , coy rex?, Q.12 Evaluate {") cos (=) A, Q.13 Evaluate -” e(2ar-e) ax, , ox ©, Q.14 Prove that ho Teg dX =38, , Q.15 Evaluate is wae, , 3n, , (arg — 28/2, 0.16 Prove that {, x*(1 —x?)"" dx = =>, , 0.17 Evaluate {¢ cos* 30 sin?60 dx, , wpa eos n@ , where 6 = tan (b/a).